# Pair Of Linear Equations In Two Variables

#### Question 5:

In a ΔABC, ∠C = 3 ∠B = 2 (∠A + ∠B). Find the three angles.

#### Answer:

Given that,

∠C = 3∠B = 2(∠A + ∠B)

3∠B = 2(∠A + ∠B)

3∠B = 2∠A + 2∠B

∠B = 2∠A

2 ∠A
− ∠B = 0 …
(*i*)

We know that the sum of the measures of all angles of a triangle is 180°. Therefore,

∠A + ∠B + ∠C = 180°

∠A + ∠B + 3 ∠B = 18...

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